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Answer :

[tex]S\text{lope is the coefficient of x after making y the subject of the formula.}[/tex][tex]\begin{gathered} y-4=-7(x-6) \\ y-4=-7x+42 \\ y=-7x+42+4 \\ y=-7x+46 \\ So,\text{ the slope is -7} \end{gathered}[/tex]